Calen Company manufactures and sells 3 products in a factory of 3 departments. Both la¬

bor and machine time are applied to the products as they pass through each department.

The nature of the machine processing and of the labor skills required in each department is such that neither machines nor labor can be switched from one department to another.

Calen's management is attempting to plan its production schedule for the next several months. The planning is complicated by the fact that labor shortages exist in the commu¬

nity and some machines will be down several months for repairs.

Following is information regarding available machine and labor time by department and the machine hours and direct labor hours required per unit of product. These data should be valid for at least the next 6 months.

Calen believes that the monthly demand for the next 6 months will be as follows;

Inventory levels will not be increased or decreased during the next 6 months. The unit cost and price data for each product are as follows:

Required:
1. Calculate the monthly requirement for machine hours and direct labor hours for pro¬
ducing Products 401, 402, and 403 to determine whether or not the factory can meet the monthly sales demand.
2. Determine the quantities of 401, 402, and 403 that should be produced monthly to max¬
imize profits. Prepare a schedule that shows the contribution to profits of your product mix.

3. Assume that the machine hours available in Department 3 are 1,500 instead of 2,700.
Calculate the optimal monthly product mix using the graphing approach to linear pro¬
gramming. Prepare a schedule that shows the contribution to profits from this optimal

Transcribed Image Text:

Monthly Capacity Machine hours available Labor hours available Product 401 402 403 Input per Unit Produced Labor hours Machine hours Labor hours Machine hours Labor hours Machine hours Department 1 2 3 3,000 3,100 2,700 3,700 4,500 2,750 211122 3220 312122